Hi Alan,
Unfortunately, I don't own a TT so I wouldn't like to recommend a particular brand to suit the car, e.g. handling characteristics...but if you would like a recommendation as to a brand of tyres that I would be happy to fit to any car then I would definitely recommend Michelin as a decent all-rounder. They also do a really good Winter tyre, especially useful where you are living I imagine? Certainly no good down here is Dorset, can't remember the last time it snowed!
Hope someone gets back to you with a definitive answer
Cheers Trevor